diff options
Diffstat (limited to '3rdparty/glm/source/test/gtc/gtc_quaternion.cpp')
-rw-r--r-- | 3rdparty/glm/source/test/gtc/gtc_quaternion.cpp | 345 |
1 files changed, 0 insertions, 345 deletions
diff --git a/3rdparty/glm/source/test/gtc/gtc_quaternion.cpp b/3rdparty/glm/source/test/gtc/gtc_quaternion.cpp deleted file mode 100644 index 540ca42..0000000 --- a/3rdparty/glm/source/test/gtc/gtc_quaternion.cpp +++ /dev/null @@ -1,345 +0,0 @@ -#include <glm/gtc/constants.hpp> -#include <glm/gtc/quaternion.hpp> -#include <glm/gtc/matrix_transform.hpp> -#include <glm/ext/matrix_relational.hpp> -#include <glm/ext/vector_relational.hpp> -#include <glm/ext/scalar_relational.hpp> -#include <glm/glm.hpp> -#include <vector> - -int test_quat_angle() -{ - int Error = 0; - - { - glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 1)); - glm::quat N = glm::normalize(Q); - float L = glm::length(N); - Error += glm::equal(L, 1.0f, 0.01f) ? 0 : 1; - float A = glm::angle(N); - Error += glm::equal(A, glm::pi<float>() * 0.25f, 0.01f) ? 0 : 1; - } - { - glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::normalize(glm::vec3(0, 1, 1))); - glm::quat N = glm::normalize(Q); - float L = glm::length(N); - Error += glm::equal(L, 1.0f, 0.01f) ? 0 : 1; - float A = glm::angle(N); - Error += glm::equal(A, glm::pi<float>() * 0.25f, 0.01f) ? 0 : 1; - } - { - glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::normalize(glm::vec3(1, 2, 3))); - glm::quat N = glm::normalize(Q); - float L = glm::length(N); - Error += glm::equal(L, 1.0f, 0.01f) ? 0 : 1; - float A = glm::angle(N); - Error += glm::equal(A, glm::pi<float>() * 0.25f, 0.01f) ? 0 : 1; - } - - return Error; -} - -int test_quat_angleAxis() -{ - int Error = 0; - - glm::quat A = glm::angleAxis(0.f, glm::vec3(0.f, 0.f, 1.f)); - glm::quat B = glm::angleAxis(glm::pi<float>() * 0.5f, glm::vec3(0, 0, 1)); - glm::quat C = glm::mix(A, B, 0.5f); - glm::quat D = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 1)); - - Error += glm::equal(C.x, D.x, 0.01f) ? 0 : 1; - Error += glm::equal(C.y, D.y, 0.01f) ? 0 : 1; - Error += glm::equal(C.z, D.z, 0.01f) ? 0 : 1; - Error += glm::equal(C.w, D.w, 0.01f) ? 0 : 1; - - return Error; -} - -int test_quat_mix() -{ - int Error = 0; - - glm::quat A = glm::angleAxis(0.f, glm::vec3(0.f, 0.f, 1.f)); - glm::quat B = glm::angleAxis(glm::pi<float>() * 0.5f, glm::vec3(0, 0, 1)); - glm::quat C = glm::mix(A, B, 0.5f); - glm::quat D = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 1)); - - Error += glm::equal(C.x, D.x, 0.01f) ? 0 : 1; - Error += glm::equal(C.y, D.y, 0.01f) ? 0 : 1; - Error += glm::equal(C.z, D.z, 0.01f) ? 0 : 1; - Error += glm::equal(C.w, D.w, 0.01f) ? 0 : 1; - - return Error; -} - -int test_quat_normalize() -{ - int Error(0); - - { - glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 1)); - glm::quat N = glm::normalize(Q); - float L = glm::length(N); - Error += glm::equal(L, 1.0f, 0.000001f) ? 0 : 1; - } - { - glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(0, 0, 2)); - glm::quat N = glm::normalize(Q); - float L = glm::length(N); - Error += glm::equal(L, 1.0f, 0.000001f) ? 0 : 1; - } - { - glm::quat Q = glm::angleAxis(glm::pi<float>() * 0.25f, glm::vec3(1, 2, 3)); - glm::quat N = glm::normalize(Q); - float L = glm::length(N); - Error += glm::equal(L, 1.0f, 0.000001f) ? 0 : 1; - } - - return Error; -} - -int test_quat_euler() -{ - int Error = 0; - - { - glm::quat q(1.0f, 0.0f, 0.0f, 1.0f); - float Roll = glm::roll(q); - float Pitch = glm::pitch(q); - float Yaw = glm::yaw(q); - glm::vec3 Angles = glm::eulerAngles(q); - Error += glm::all(glm::equal(Angles, glm::vec3(Pitch, Yaw, Roll), 0.000001f)) ? 0 : 1; - } - - { - glm::dquat q(1.0, 0.0, 0.0, 1.0); - double Roll = glm::roll(q); - double Pitch = glm::pitch(q); - double Yaw = glm::yaw(q); - glm::dvec3 Angles = glm::eulerAngles(q); - Error += glm::all(glm::equal(Angles, glm::dvec3(Pitch, Yaw, Roll), 0.000001)) ? 0 : 1; - } - - return Error; -} - -int test_quat_slerp() -{ - int Error = 0; - - float const Epsilon = 0.0001f;//glm::epsilon<float>(); - - float sqrt2 = std::sqrt(2.0f)/2.0f; - glm::quat id(static_cast<float>(1), static_cast<float>(0), static_cast<float>(0), static_cast<float>(0)); - glm::quat Y90rot(sqrt2, 0.0f, sqrt2, 0.0f); - glm::quat Y180rot(0.0f, 0.0f, 1.0f, 0.0f); - - // Testing a == 0 - // Must be id - glm::quat id2 = glm::slerp(id, Y90rot, 0.0f); - Error += glm::all(glm::equal(id, id2, Epsilon)) ? 0 : 1; - - // Testing a == 1 - // Must be 90� rotation on Y : 0 0.7 0 0.7 - glm::quat Y90rot2 = glm::slerp(id, Y90rot, 1.0f); - Error += glm::all(glm::equal(Y90rot, Y90rot2, Epsilon)) ? 0 : 1; - - // Testing standard, easy case - // Must be 45� rotation on Y : 0 0.38 0 0.92 - glm::quat Y45rot1 = glm::slerp(id, Y90rot, 0.5f); - - // Testing reverse case - // Must be 45� rotation on Y : 0 0.38 0 0.92 - glm::quat Ym45rot2 = glm::slerp(Y90rot, id, 0.5f); - - // Testing against full circle around the sphere instead of shortest path - // Must be 45� rotation on Y - // certainly not a 135� rotation - glm::quat Y45rot3 = glm::slerp(id , -Y90rot, 0.5f); - float Y45angle3 = glm::angle(Y45rot3); - Error += glm::equal(Y45angle3, glm::pi<float>() * 0.25f, Epsilon) ? 0 : 1; - Error += glm::all(glm::equal(Ym45rot2, Y45rot3, Epsilon)) ? 0 : 1; - - // Same, but inverted - // Must also be 45� rotation on Y : 0 0.38 0 0.92 - // -0 -0.38 -0 -0.92 is ok too - glm::quat Y45rot4 = glm::slerp(-Y90rot, id, 0.5f); - Error += glm::all(glm::equal(Ym45rot2, -Y45rot4, Epsilon)) ? 0 : 1; - - // Testing q1 = q2 - // Must be 90� rotation on Y : 0 0.7 0 0.7 - glm::quat Y90rot3 = glm::slerp(Y90rot, Y90rot, 0.5f); - Error += glm::all(glm::equal(Y90rot, Y90rot3, Epsilon)) ? 0 : 1; - - // Testing 180� rotation - // Must be 90� rotation on almost any axis that is on the XZ plane - glm::quat XZ90rot = glm::slerp(id, -Y90rot, 0.5f); - float XZ90angle = glm::angle(XZ90rot); // Must be PI/4 = 0.78; - Error += glm::equal(XZ90angle, glm::pi<float>() * 0.25f, Epsilon) ? 0 : 1; - - // Testing almost equal quaternions (this test should pass through the linear interpolation) - // Must be 0 0.00X 0 0.99999 - glm::quat almostid = glm::slerp(id, glm::angleAxis(0.1f, glm::vec3(0.0f, 1.0f, 0.0f)), 0.5f); - - // Testing quaternions with opposite sign - { - glm::quat a(-1, 0, 0, 0); - - glm::quat result = glm::slerp(a, id, 0.5f); - - Error += glm::equal(glm::pow(glm::dot(id, result), 2.f), 1.f, 0.01f) ? 0 : 1; - } - - return Error; -} - -int test_quat_slerp_spins() -{ - int Error = 0; - - float const Epsilon = 0.0001f;//glm::epsilon<float>(); - - float sqrt2 = std::sqrt(2.0f) / 2.0f; - glm::quat id(static_cast<float>(1), static_cast<float>(0), static_cast<float>(0), static_cast<float>(0)); - glm::quat Y90rot(sqrt2, 0.0f, sqrt2, 0.0f); - glm::quat Y180rot(0.0f, 0.0f, 1.0f, 0.0f); - - // Testing a == 0, k == 1 - // Must be id - glm::quat id2 = glm::slerp(id, id, 1.0f, 1); - Error += glm::all(glm::equal(id, id2, Epsilon)) ? 0 : 1; - - // Testing a == 1, k == 2 - // Must be id - glm::quat id3 = glm::slerp(id, id, 1.0f, 2); - Error += glm::all(glm::equal(id, id3, Epsilon)) ? 0 : 1; - - // Testing a == 1, k == 1 - // Must be 90� rotation on Y : 0 0.7 0 0.7 - // Negative quaternion is representing same orientation - glm::quat Y90rot2 = glm::slerp(id, Y90rot, 1.0f, 1); - Error += glm::all(glm::equal(Y90rot, -Y90rot2, Epsilon)) ? 0 : 1; - - // Testing a == 1, k == 2 - // Must be id - glm::quat Y90rot3 = glm::slerp(id, Y90rot, 8.0f / 9.0f, 2); - Error += glm::all(glm::equal(id, Y90rot3, Epsilon)) ? 0 : 1; - - // Testing a == 1, k == 1 - // Must be 90� rotation on Y : 0 0.7 0 0.7 - glm::quat Y90rot4 = glm::slerp(id, Y90rot, 0.2f, 1); - Error += glm::all(glm::equal(Y90rot, Y90rot4, Epsilon)) ? 0 : 1; - - // Testing reverse case - // Must be 45� rotation on Y : 0 0.38 0 0.92 - // Negative quaternion is representing same orientation - glm::quat Ym45rot2 = glm::slerp(Y90rot, id, 0.9f, 1); - glm::quat Ym45rot3 = glm::slerp(Y90rot, id, 0.5f); - Error += glm::all(glm::equal(-Ym45rot2, Ym45rot3, Epsilon)) ? 0 : 1; - - // Testing against full circle around the sphere instead of shortest path - // Must be 45� rotation on Y - // certainly not a 135� rotation - glm::quat Y45rot3 = glm::slerp(id, -Y90rot, 0.5f, 0); - float Y45angle3 = glm::angle(Y45rot3); - Error += glm::equal(Y45angle3, glm::pi<float>() * 0.25f, Epsilon) ? 0 : 1; - Error += glm::all(glm::equal(Ym45rot3, Y45rot3, Epsilon)) ? 0 : 1; - - // Same, but inverted - // Must also be 45� rotation on Y : 0 0.38 0 0.92 - // -0 -0.38 -0 -0.92 is ok too - glm::quat Y45rot4 = glm::slerp(-Y90rot, id, 0.5f, 0); - Error += glm::all(glm::equal(Ym45rot2, Y45rot4, Epsilon)) ? 0 : 1; - - // Testing q1 = q2 k == 2 - // Must be 90� rotation on Y : 0 0.7 0 0.7 - glm::quat Y90rot5 = glm::slerp(Y90rot, Y90rot, 0.5f, 2); - Error += glm::all(glm::equal(Y90rot, Y90rot5, Epsilon)) ? 0 : 1; - - // Testing 180� rotation - // Must be 90� rotation on almost any axis that is on the XZ plane - glm::quat XZ90rot = glm::slerp(id, -Y90rot, 0.5f, 1); - float XZ90angle = glm::angle(XZ90rot); // Must be PI/4 = 0.78; - Error += glm::equal(XZ90angle, glm::pi<float>() * 1.25f, Epsilon) ? 0 : 1; - - // Testing rotation over long arc - // Distance from id to 90� is 270�, so 2/3 of it should be 180� - // Negative quaternion is representing same orientation - glm::quat Neg90rot = glm::slerp(id, Y90rot, 2.0f / 3.0f, -1); - Error += glm::all(glm::equal(Y180rot, -Neg90rot, Epsilon)) ? 0 : 1; - - return Error; -} - -static int test_quat_mul_vec() -{ - int Error(0); - - glm::quat q = glm::angleAxis(glm::pi<float>() * 0.5f, glm::vec3(0, 0, 1)); - glm::vec3 v(1, 0, 0); - glm::vec3 u(q * v); - glm::vec3 w(u * q); - - Error += glm::all(glm::equal(v, w, 0.01f)) ? 0 : 1; - - return Error; -} - -static int test_mul() -{ - int Error = 0; - - glm::quat temp1 = glm::normalize(glm::quat(1.0f, glm::vec3(0.0, 1.0, 0.0))); - glm::quat temp2 = glm::normalize(glm::quat(0.5f, glm::vec3(1.0, 0.0, 0.0))); - - glm::vec3 transformed0 = (temp1 * glm::vec3(0.0, 1.0, 0.0) * glm::inverse(temp1)); - glm::vec3 temp4 = temp2 * transformed0 * glm::inverse(temp2); - - glm::quat temp5 = glm::normalize(temp1 * temp2); - glm::vec3 temp6 = temp5 * glm::vec3(0.0, 1.0, 0.0) * glm::inverse(temp5); - - glm::quat temp7(1.0f, glm::vec3(0.0, 1.0, 0.0)); - - temp7 *= temp5; - temp7 *= glm::inverse(temp5); - - Error += glm::any(glm::notEqual(temp7, glm::quat(1.0f, glm::vec3(0.0, 1.0, 0.0)), glm::epsilon<float>())) ? 1 : 0; - - return Error; -} - -int test_identity() -{ - int Error = 0; - - glm::quat const Q = glm::identity<glm::quat>(); - - Error += glm::all(glm::equal(Q, glm::quat(1, 0, 0, 0), 0.0001f)) ? 0 : 1; - Error += glm::any(glm::notEqual(Q, glm::quat(1, 0, 0, 0), 0.0001f)) ? 1 : 0; - - glm::mat4 const M = glm::identity<glm::mat4x4>(); - glm::mat4 const N(1.0f); - - Error += glm::all(glm::equal(M, N, 0.0001f)) ? 0 : 1; - - return Error; -} - -int main() -{ - int Error = 0; - - Error += test_mul(); - Error += test_quat_mul_vec(); - Error += test_quat_angle(); - Error += test_quat_angleAxis(); - Error += test_quat_mix(); - Error += test_quat_normalize(); - Error += test_quat_euler(); - Error += test_quat_slerp(); - Error += test_quat_slerp_spins(); - Error += test_identity(); - - return Error; -} |